Intersecting families with covering number three II

Peter Frankl, Jian Wang

A family $\mathcal{F}\subset \left(\genfrac{}{}{0ex}{}{[n]}{k}\right)$ is called intersecting if $F\cap F^{\prime }\ne \varnothing$ for all $F,F^{\prime }\in \mathcal{F}$. The covering number of a family $\mathcal{F}$ is defi…